Exercise 3 Page 319

To determine the frequency of each outcome of an event, we need to determine how many of the total possible outcomes are favorable outcomes for that event. Let's look at an example!

Example

Consider that we roll a single die 2 times.

Suppose that we want to determine the frequency of rolling a 4 at least one time. Let's list all the possible outcomes for rolling the die two times. (1,1),(1,2),(1,3), (1,4),(1,5),(1,6) (2,1),(2,2),(2,3), (2,4),(2,5),(2,6) (3,1),(3,2),(3,3), (3,4),(3,5),(3,6) (4,1), (4,2), (4,3), (4,4), (4,5), (4,6) (5,1),(5,2),(5,3), (5,4),(5,5),(5,6) (6,1),(6,2),(6,3), (6,4),(6,5),(6,6) We can see that there are 36 total outcomes. We can also see that there are 11 outcomes that are favorable for rolling at least one 4. Therefore, we have determined that the frequency of this event is 11.